108 citations · 614 across the 35 of their papers we have counts for
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math.AP2016
The Schr{ö}dinger equation with spatial white noise potential
Arnaud Debussche, Hendrik Weber
We consider the linear and nonlinear Schr{ö}dinger equation with a spatial white noise as a potential in dimension 2. We prove existence and uniqueness of solutions thanks to a cha…
math.AP2016
Quasilinear SPDEs via rough paths
Felix Otto, Hendrik Weber
We are interested in (uniformly) parabolic PDEs with a nonlinear dependance of the leading-order coefficients, driven by a rough right hand side. For simplicity, we consider a spac…
math.AP2016★ 108 cited
The dynamic model comes down from infinity
Jean-Christophe Mourrat, Hendrik Weber
We prove an a priori bound for the dynamic model on the torus wich is independent of the initial condition. In particular, this bound rules out the possibility of finite ti…